Regularity of Solution to Axis-symmetric Navier-Stokes Equations with a Slightly Supercritical Condition
Analysis of PDEs
2022-08-08 v1
Abstract
Consider an axis-symmetric suitable weak solution of 3D incompressible Navier-Stokes equation with nontrivial swirl. If the solution satisfies a slightly supercritical assumption, we will prove that v is regular. This extends the results of Chen-Strain-Tsai-Yau, Koch-Nadirashvili-Seregin-Sverak and Lei-Zhang where regularities under critical assumptions were proven.
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Cite
@article{arxiv.1410.6260,
title = {Regularity of Solution to Axis-symmetric Navier-Stokes Equations with a Slightly Supercritical Condition},
author = {Xinghong Pan},
journal= {arXiv preprint arXiv:1410.6260},
year = {2022}
}
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40pages